国家自然科学基金(10831004)

作品数：8被引量：7H指数：2
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Some characterizations of the integrable Teichmller space被引量：2
《Science China Mathematics》2013年第3期541-551,共11页TANG ShuAn 
supported by National Natural Science Foundation of China (Grant No.10831004)
In this paper, we prove that the Bers projection of the integrable Teichmller space is holomorphic. By using the Douady-Earle extension, we obtain some characterizations of the integrable Teichmller space as well as t...
关键词：integrable Teichmuller space Bers projection Douady-Earle extension p-integrable asymptotic affine homeomorphism 
P^1(C_p)上有理函数的Julia集是一致完全集
《中国科学：数学》2011年第10期849-853,共5页邱维元 杨静桦 尹永成 
国家自然科学基金(批准号:10831004和10871047);上海自然科学基金(批准号:10ZR1403700)资助项目
在本文中,我们证明了P1(Cp)上有理函数的Julia集具有一致完全性.
关键词：JULIA集 局部域 一致完全性 
Stable Teichmller mappings of type (0,4)
《Science China Mathematics》2011年第7期1379-1388,共10页HUANG Yan WU ShengJian 
supported by National Natural Science Foundation of China (Grant Nos.10671004, 10831004)
Let X = C\{0,1} and X = X\{}. We get a necessary and suficient condition on the position of in X such that X has stable Teichmller mappings. Furthermore, we can formulate all these stable Teichmller mappings. The mai...
关键词：quadratic differential stable Teichmller mapping Teichmller space Bers fiber space 
Extremal polygonal quasiconformal mappings and biLipschitz mappings
《Science China Mathematics》2010年第5期238-245,共8页Huang HuaYing Wu ShengJian 
supported by National Natural Science Foundation of China (Grant Nos.10671004,10831004);The Doctoral Education Program Foundation (Grant No.20060001003)
We show that the extremal polygonal quasiconformal mappings are biLipschitz with respect to the hyperbolic metric in the unit disk.
关键词：quasiconformal MAPPING EXTREMAL polygonal quasiconformal MAPPING HYPERBOLIC METRIC 
Value distribution theory and the research of Yang Lo被引量：1
《Science China Mathematics》2010年第3期513-522,共10页HAYMAN W. K. 
supported by National Natural Science Foundation of China (Grant Nos. 10671004, 10831004);the Doctoral Education Program Foundation of China (Grant No.20060001003)
Value distribution theory is concerned with the position and frequency of solutions of the equation f(z) = a. Here f may be entire, i.e. an everywhere convergent power series or meromorphic, i.e. the ratio of two such...
关键词：MEROMORPHIC function VALUE DISTRIBUTION DEFICIENT VALUE ANGULAR DISTRIBUTION 
Combinatorial rigidity of unicritical maps被引量：1
《Science China Mathematics》2010年第3期831-848,共18页PENG WenJuan 1, & TAN Lei 2 1 School of Mathematical Sciences, Peking University, Beijing 100871, China 2 Departement de Mathematiques, Universited’Angers, Angers 49045, France 
supported by Postdoctoral Science Foundation of China (Grant No. 20080440270);Doctoral Education Program Foundation of China (Grant No. 20060001003);National Natural Science Foundation of China (Grant No. 10831004)
In this paper, we combine the KSS nest constructed by Kozlovski, Shen and van Strien, and the analytic method proposed by Avila, Kahn, Lyubich and Shen to prove the combinatorial rigidity of unicritical maps.
关键词：combinatorial RIGIDITY unicritical MAPS KSS NEST 
Connectivity of the Mandelbrot set for the family of renormalization transformations被引量：3
《Science China Mathematics》2010年第3期849-862,共14页WANG XiaoGuang 1,QIU WeiYuan 1 , YIN YongCheng 1 , QIAO JianYong 2 & GAO JunYang 2 1 School of Mathematical Sciences, Fudan University, Shanghai 200433, China 2 Center of Mathematics, China University of Mining and Technology, Beijing 100083, China 
supported by National Natural Science Foundation of China (Grant Nos.10625107, 10801134, 10831004 and 10871047);Natural Science Foundation of Shanghai, China (Grant No.10ZR1403700)
We show that the Mandelbrot set for the family of renormalization transformations of 2-dimensional diamond-like hierachical Potts models in statistical mechanics is connected. We also give an upper bound for the Hausd...
关键词：CONNECTIVITY Mandelbrot SET RENORMALIZATION TRANSFORMATIONS 
Convex hull theorem for multiply connected domains in the plane with an estimate of the quasiconformal constant
《Science China Mathematics》2009年第5期932-940,共9页LIU Gang WU ShengJian 
supported by National Natural Science Foundation of China (Grant Nos. 10671004, 10831004);the Doctoral Education Program Foundation of China (Grant No. 20060001003)
For any multiply connected domain Ω in ?2, let S be the boundary of the convex hull in H 3 of ?2Ω which faces Ω. Suppose in addition that there exists a lower bound l > 0 of the hyperbolic lengths of closed geodesi...
关键词：convex hull quasiconformal mapping multiply connected domain 30C62 
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